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An Introduction to the Analytic Theory of Numbers

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Raymond Ayoub

This book is divided into five chapters: I. Dirichlet's theorem on
primes in an arithmetic progression; II. Distribution of primes; III. The
theory of partitions; IV. Waring's problem; V. Dirichlet L-functions and class
number of quadratic fields.

Reviews & Endorsements

The exposition
is masterful, there are lots of interesting side paths, and the
chapter end-notes are interesting and helpful...One of the charms of
this book for the serious student is the variety of approaches and
proofs...Despite its age, this book still stands out for its breadth of
coverage. I don't know any other introductory book that covers as wide
a variety of methods and results as this one.

This book is divided into five chapters: I. Dirichlet's theorem on
primes in an arithmetic progression; II. Distribution of primes; III. The
theory of partitions; IV. Waring's problem; V. Dirichlet L-functions and class
number of quadratic fields.

The exposition
is masterful, there are lots of interesting side paths, and the
chapter end-notes are interesting and helpful...One of the charms of
this book for the serious student is the variety of approaches and
proofs...Despite its age, this book still stands out for its breadth of
coverage. I don't know any other introductory book that covers as wide
a variety of methods and results as this one.